↑ Up

Vampire---5.0.1.CSA-Sat.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL661+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:54:25 AM UTC 2026

% Result   : CounterSatisfiable 6.29s 1.68s
% Output   : Saturation 7.88s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u112,negated_conjecture,
    sP1(sK29) ).

cnf(u119,negated_conjecture,
    sP2(sK29) ).

cnf(u123,negated_conjecture,
    r1(sK22,sK29) ).

cnf(u133,negated_conjecture,
    r1(sK28,sK30(sK28)) ).

cnf(u140,negated_conjecture,
    r1(sK27,sK30(sK27)) ).

cnf(u147,negated_conjecture,
    r1(sK26,sK30(sK26)) ).

cnf(u154,negated_conjecture,
    r1(sK24,sK30(sK24)) ).

cnf(u161,negated_conjecture,
    r1(sK23,sK30(sK23)) ).

cnf(u179,negated_conjecture,
    p1(sK7(sK27)) ).

cnf(u186,negated_conjecture,
    p3(sK7(sK23)) ).

cnf(u193,negated_conjecture,
    r1(sK7(sK22),sK30(sK7(sK22))) ).

cnf(u208,negated_conjecture,
    r1(sK22,sK30(sK22)) ).

cnf(u234,negated_conjecture,
    r1(sK28,sK6(sK28)) ).

cnf(u241,negated_conjecture,
    r1(sK27,sK6(sK27)) ).

cnf(u248,negated_conjecture,
    r1(sK26,sK6(sK26)) ).

cnf(u258,negated_conjecture,
    ( ~ r1(sK25,X0)
    | ~ r1(X0,X1)
    | p2(sK4(X1))
    | p2(X1) ) ).

cnf(u262,negated_conjecture,
    r1(sK24,sK6(sK24)) ).

cnf(u269,negated_conjecture,
    r1(sK23,sK6(sK23)) ).

cnf(u276,negated_conjecture,
    r1(sK7(sK22),sK6(sK7(sK22))) ).

cnf(u284,negated_conjecture,
    r1(sK29,sK30(sK29)) ).

cnf(u305,negated_conjecture,
    ~ p2(sK29) ).

cnf(u309,negated_conjecture,
    ( ~ p2(X0)
    | ~ r1(sK29,X0)
    | p2(X1)
    | ~ r1(X0,X1) ) ).

cnf(u348,negated_conjecture,
    ~ r1(sK29,sK25) ).

cnf(u364,negated_conjecture,
    ~ r1(sK29,sK22) ).

cnf(u453,negated_conjecture,
    r1(sK30(sK22),sK30(sK30(sK22))) ).

cnf(u58,axiom,
    ( ~ sP2(X0)
    | ~ r1(X0,X8)
    | ~ r1(X8,X9)
    | p2(X9)
    | ~ p2(X8)
    | r1(X0,sK9(X0)) ) ).

cnf(u102,negated_conjecture,
    ~ p2(sK26) ).

cnf(u70,axiom,
    ( ~ p2(sK14(X1))
    | sP0(X1)
    | ~ r1(X0,X1)
    | ~ r1(X1,X9)
    | ~ r1(X9,X10)
    | p2(X10)
    | ~ p2(X9)
    | ~ sP1(X0) ) ).

cnf(u104,negated_conjecture,
    ( ~ r1(sK25,X5)
    | p2(X5) ) ).

cnf(u37,axiom,
    ( ~ p2(sK5(X3))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | ~ r1(X0,X1)
    | r1(X1,sK6(X1))
    | ~ sP3(X0) ) ).

cnf(u65,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | ~ r1(X1,X6)
    | p2(X6)
    | r1(sK15(X6),sK16(X6))
    | ~ p2(X1)
    | ~ r1(X0,X1) ) ).

cnf(u47,axiom,
    ( ~ p2(sK12(X5))
    | p2(X5)
    | ~ r1(X0,X5)
    | ~ p2(X0)
    | ~ sP2(X0) ) ).

cnf(u469,negated_conjecture,
    ( ~ p2(X2)
    | ~ r1(X0,X1)
    | p2(X1)
    | r1(sK15(X1),sK16(X1))
    | ~ r1(X0,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | sP0(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u291,negated_conjecture,
    ( ~ p2(X0)
    | r1(X0,sK13(X0))
    | sP0(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u205,negated_conjecture,
    p1(sK27) ).

cnf(u100,negated_conjecture,
    ( ~ r1(sK27,X8)
    | p1(X8) ) ).

cnf(u39,axiom,
    ( ~ p2(sK6(X1))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(sK4(X3),sK5(X3))
    | ~ r1(X0,X1)
    | ~ sP3(X0) ) ).

cnf(u27,axiom,
    r1(X0,X0) ).

cnf(u71,axiom,
    ( ~ p2(sK14(X1))
    | sP0(X1)
    | ~ r1(X0,X1)
    | ~ p2(X1)
    | ~ sP1(X0) ) ).

cnf(u45,axiom,
    ( ~ sP2(X0)
    | p2(X5)
    | p2(sK11(X5))
    | ~ p2(X0)
    | ~ r1(X0,X5) ) ).

cnf(u73,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | r1(sK13(X1),sK14(X1))
    | ~ p2(X1)
    | ~ r1(X0,X1) ) ).

cnf(u166,negated_conjecture,
    p3(sK30(sK23)) ).

cnf(u83,axiom,
    ( ~ p2(sK18(X3))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | ~ r1(X0,X1)
    | ~ r1(sK19(X1),X7)
    | ~ r1(X7,X8)
    | p2(X8)
    | ~ p2(X7)
    | ~ sP0(X0) ) ).

cnf(u32,axiom,
    ( ~ sP3(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | p2(sK4(X3))
    | ~ r1(sK6(X1),X7)
    | ~ r1(X7,X8)
    | p2(X8)
    | ~ p2(X7)
    | ~ r1(X0,X1) ) ).

cnf(u57,axiom,
    ( r1(sK9(X0),sK10(X0))
    | ~ p2(X0)
    | ~ sP2(X0) ) ).

cnf(u101,negated_conjecture,
    r1(sK22,sK27) ).

cnf(u93,negated_conjecture,
    ( ~ p2(sK30(X11))
    | ~ r1(X11,X12)
    | p2(X12)
    | ~ r1(sK22,X11) ) ).

cnf(u34,axiom,
    ( ~ sP3(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | p2(sK4(X3))
    | r1(X1,sK6(X1))
    | ~ r1(X0,X1) ) ).

cnf(u91,axiom,
    ( ~ sP0(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(X3,sK17(X3))
    | r1(X1,sK19(X1))
    | ~ r1(X0,X1) ) ).

cnf(u109,negated_conjecture,
    r1(sK22,sK23) ).

cnf(u30,axiom,
    ( ~ sP3(X0)
    | p2(X1)
    | r1(sK7(X1),sK8(X1))
    | ~ r1(X0,X1) ) ).

cnf(u76,axiom,
    ( ~ sP0(X0)
    | p2(X1)
    | p2(sK20(X1))
    | ~ r1(X0,X1) ) ).

cnf(u42,axiom,
    ( ~ p2(sK6(X1))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(X3,sK4(X3))
    | ~ r1(X0,X1)
    | ~ sP3(X0) ) ).

cnf(u29,axiom,
    ( ~ p2(sK8(X1))
    | p2(X1)
    | ~ r1(X0,X1)
    | ~ sP3(X0) ) ).

cnf(u60,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | ~ r1(X1,X6)
    | p2(X6)
    | p2(sK15(X6))
    | ~ r1(X1,X9)
    | ~ r1(X9,X10)
    | p2(X10)
    | ~ p2(X9)
    | ~ r1(X0,X1) ) ).

cnf(u203,negated_conjecture,
    p3(sK23) ).

cnf(u98,negated_conjecture,
    ~ p1(sK28) ).

cnf(u31,axiom,
    ( ~ sP3(X0)
    | p2(X1)
    | r1(X1,sK7(X1))
    | ~ r1(X0,X1) ) ).

cnf(u167,negated_conjecture,
    p1(sK30(sK27)) ).

cnf(u84,axiom,
    ( ~ p2(sK19(X1))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | ~ p2(sK18(X3))
    | ~ r1(X0,X1)
    | ~ sP0(X0) ) ).

cnf(u94,negated_conjecture,
    ( ~ r1(sK22,X11)
    | ~ r1(X11,X12)
    | p2(X12)
    | r1(X11,sK30(X11)) ) ).

cnf(u106,negated_conjecture,
    ~ p3(sK24) ).

cnf(u415,negated_conjecture,
    ( ~ p2(X0)
    | ~ r1(X0,X1)
    | p2(X1)
    | r1(X1,sK15(X1))
    | sP0(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u67,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | ~ r1(X1,X6)
    | p2(X6)
    | r1(X6,sK15(X6))
    | ~ p2(X1)
    | ~ r1(X0,X1) ) ).

cnf(u41,axiom,
    ( ~ sP3(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(X3,sK4(X3))
    | ~ r1(sK6(X1),X7)
    | ~ r1(X7,X8)
    | p2(X8)
    | ~ p2(X7)
    | ~ r1(X0,X1) ) ).

cnf(u85,axiom,
    ( ~ p2(sK18(X3))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | ~ r1(X0,X1)
    | r1(X1,sK19(X1))
    | ~ sP0(X0) ) ).

cnf(u51,axiom,
    ( ~ sP2(X0)
    | p2(X5)
    | r1(X5,sK11(X5))
    | ~ p2(X0)
    | ~ r1(X0,X5) ) ).

cnf(u87,axiom,
    ( ~ p2(sK19(X1))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(sK17(X3),sK18(X3))
    | ~ r1(X0,X1)
    | ~ sP0(X0) ) ).

cnf(u89,axiom,
    ( ~ sP0(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(X3,sK17(X3))
    | ~ r1(sK19(X1),X7)
    | ~ r1(X7,X8)
    | p2(X8)
    | ~ p2(X7)
    | ~ r1(X0,X1) ) ).

cnf(u290,negated_conjecture,
    ( r1(sK13(X0),sK14(X0))
    | sP0(X0)
    | ~ p2(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u75,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | r1(X1,sK13(X1))
    | ~ p2(X1)
    | ~ r1(X0,X1) ) ).

cnf(u49,axiom,
    ( ~ sP2(X0)
    | p2(X5)
    | r1(sK11(X5),sK12(X5))
    | ~ p2(X0)
    | ~ r1(X0,X5) ) ).

cnf(u59,axiom,
    ( ~ sP2(X0)
    | ~ p2(X0)
    | r1(X0,sK9(X0)) ) ).

cnf(u103,negated_conjecture,
    r1(sK22,sK26) ).

cnf(u105,negated_conjecture,
    r1(sK22,sK25) ).

cnf(u40,axiom,
    ( ~ sP3(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(sK4(X3),sK5(X3))
    | r1(X1,sK6(X1))
    | ~ r1(X0,X1) ) ).

cnf(u44,axiom,
    ( ~ sP2(X0)
    | p2(X5)
    | p2(sK11(X5))
    | ~ r1(X0,X8)
    | ~ r1(X8,X9)
    | p2(X9)
    | ~ p2(X8)
    | ~ r1(X0,X5) ) ).

cnf(u72,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | r1(sK13(X1),sK14(X1))
    | ~ r1(X1,X9)
    | ~ r1(X9,X10)
    | p2(X10)
    | ~ p2(X9)
    | ~ r1(X0,X1) ) ).

cnf(u35,axiom,
    ( ~ p2(sK5(X3))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | ~ r1(X0,X1)
    | ~ r1(sK6(X1),X7)
    | ~ r1(X7,X8)
    | p2(X8)
    | ~ p2(X7)
    | ~ sP3(X0) ) ).

cnf(u54,axiom,
    ( ~ p2(sK10(X0))
    | ~ r1(X0,X8)
    | ~ r1(X8,X9)
    | p2(X9)
    | ~ p2(X8)
    | ~ sP2(X0) ) ).

cnf(u82,axiom,
    ( ~ sP0(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | p2(sK17(X3))
    | r1(X1,sK19(X1))
    | ~ r1(X0,X1) ) ).

cnf(u88,axiom,
    ( ~ sP0(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(sK17(X3),sK18(X3))
    | r1(X1,sK19(X1))
    | ~ r1(X0,X1) ) ).

cnf(u56,axiom,
    ( ~ sP2(X0)
    | ~ r1(X0,X8)
    | ~ r1(X8,X9)
    | p2(X9)
    | ~ p2(X8)
    | r1(sK9(X0),sK10(X0)) ) ).

cnf(u448,negated_conjecture,
    ( ~ p2(X3)
    | ~ r1(sK14(X0),X1)
    | ~ r1(X1,X2)
    | p2(X2)
    | ~ p2(X1)
    | ~ r1(X0,X3)
    | ~ r1(X3,X4)
    | p2(X4)
    | sP0(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u43,axiom,
    ( ~ sP3(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(X3,sK4(X3))
    | r1(X1,sK6(X1))
    | ~ r1(X0,X1) ) ).

cnf(u78,axiom,
    ( ~ sP0(X0)
    | p2(X1)
    | r1(sK20(X1),sK21(X1))
    | ~ r1(X0,X1) ) ).

cnf(u52,axiom,
    ( ~ sP2(X0)
    | ~ r1(X3,X4)
    | p2(X4)
    | ~ p2(X3)
    | ~ r1(X0,X8)
    | ~ r1(X8,X9)
    | p2(X9)
    | ~ p2(X8)
    | ~ r1(sK10(X0),X3) ) ).

cnf(u80,axiom,
    ( ~ sP0(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | p2(sK17(X3))
    | ~ r1(sK19(X1),X7)
    | ~ r1(X7,X8)
    | p2(X8)
    | ~ p2(X7)
    | ~ r1(X0,X1) ) ).

cnf(u62,axiom,
    ( ~ p2(sK16(X6))
    | sP0(X1)
    | ~ r1(X1,X6)
    | p2(X6)
    | ~ r1(X0,X1)
    | ~ r1(X1,X9)
    | ~ r1(X9,X10)
    | p2(X10)
    | ~ p2(X9)
    | ~ sP1(X0) ) ).

cnf(u90,axiom,
    ( ~ p2(sK19(X1))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(X3,sK17(X3))
    | ~ r1(X0,X1)
    | ~ sP0(X0) ) ).

cnf(u108,negated_conjecture,
    ( ~ r1(sK23,X2)
    | p3(X2) ) ).

cnf(u69,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | ~ r1(sK14(X1),X4)
    | ~ r1(X4,X5)
    | p2(X5)
    | ~ p2(X4)
    | ~ p2(X1)
    | ~ r1(X0,X1) ) ).

cnf(u204,negated_conjecture,
    p2(sK25) ).

cnf(u79,axiom,
    ( ~ sP0(X0)
    | p2(X1)
    | r1(X1,sK20(X1))
    | ~ r1(X0,X1) ) ).

cnf(u462,negated_conjecture,
    ( ~ p2(X1)
    | r1(sK13(X0),sK14(X0))
    | ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | p2(X2)
    | sP0(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u53,axiom,
    ( ~ sP2(X0)
    | ~ r1(X3,X4)
    | p2(X4)
    | ~ p2(X3)
    | ~ p2(X0)
    | ~ r1(sK10(X0),X3) ) ).

cnf(u81,axiom,
    ( ~ p2(sK19(X1))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | p2(sK17(X3))
    | ~ r1(X0,X1)
    | ~ sP0(X0) ) ).

cnf(u63,axiom,
    ( ~ p2(sK16(X6))
    | sP0(X1)
    | ~ r1(X1,X6)
    | p2(X6)
    | ~ r1(X0,X1)
    | ~ p2(X1)
    | ~ sP1(X0) ) ).

cnf(u467,negated_conjecture,
    ( ~ p2(X2)
    | ~ r1(X0,X1)
    | p2(X1)
    | r1(X1,sK15(X1))
    | ~ r1(X0,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | sP0(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u341,negated_conjecture,
    p3(sK6(sK23)) ).

cnf(u33,axiom,
    ( ~ p2(sK6(X1))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | p2(sK4(X3))
    | ~ r1(X0,X1)
    | ~ sP3(X0) ) ).

cnf(u77,axiom,
    ( ~ p2(sK21(X1))
    | p2(X1)
    | ~ r1(X0,X1)
    | ~ sP0(X0) ) ).

cnf(u61,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | ~ r1(X1,X6)
    | p2(X6)
    | p2(sK15(X6))
    | ~ p2(X1)
    | ~ r1(X0,X1) ) ).

cnf(u465,negated_conjecture,
    ( ~ p2(X2)
    | ~ r1(X0,X1)
    | p2(X1)
    | p2(sK15(X1))
    | ~ r1(X0,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | sP0(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u99,negated_conjecture,
    r1(sK22,sK28) ).

cnf(u28,axiom,
    ( ~ sP3(X0)
    | p2(X1)
    | p2(sK7(X1))
    | ~ r1(X0,X1) ) ).

cnf(u289,negated_conjecture,
    ( ~ p2(X0)
    | ~ r1(sK14(X0),X1)
    | ~ r1(X1,X2)
    | p2(X2)
    | ~ p2(X1)
    | sP0(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u38,axiom,
    ( ~ sP3(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(sK4(X3),sK5(X3))
    | ~ r1(sK6(X1),X7)
    | ~ r1(X7,X8)
    | p2(X8)
    | ~ p2(X7)
    | ~ r1(X0,X1) ) ).

cnf(u66,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | ~ r1(X1,X6)
    | p2(X6)
    | r1(X6,sK15(X6))
    | ~ r1(X1,X9)
    | ~ r1(X9,X10)
    | p2(X10)
    | ~ p2(X9)
    | ~ r1(X0,X1) ) ).

cnf(u458,negated_conjecture,
    ( ~ p2(X1)
    | r1(X0,sK13(X0))
    | ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | p2(X2)
    | sP0(X0)
    | ~ r1(sK29,X0) ) ).

cnf(u50,axiom,
    ( ~ sP2(X0)
    | p2(X5)
    | r1(X5,sK11(X5))
    | ~ r1(X0,X8)
    | ~ r1(X8,X9)
    | p2(X9)
    | ~ p2(X8)
    | ~ r1(X0,X5) ) ).

cnf(u68,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | ~ r1(sK14(X1),X4)
    | ~ r1(X4,X5)
    | p2(X5)
    | ~ p2(X4)
    | ~ r1(X1,X9)
    | ~ r1(X9,X10)
    | p2(X10)
    | ~ p2(X9)
    | ~ r1(X0,X1) ) ).

cnf(u55,axiom,
    ( ~ p2(sK10(X0))
    | ~ p2(X0)
    | ~ sP2(X0) ) ).

cnf(u342,negated_conjecture,
    p1(sK6(sK27)) ).

cnf(u86,axiom,
    ( ~ sP0(X0)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | r1(sK17(X3),sK18(X3))
    | ~ r1(sK19(X1),X7)
    | ~ r1(X7,X8)
    | p2(X8)
    | ~ p2(X7)
    | ~ r1(X0,X1) ) ).

cnf(u107,negated_conjecture,
    r1(sK22,sK24) ).

cnf(u36,axiom,
    ( ~ p2(sK6(X1))
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | p2(X3)
    | ~ p2(sK5(X3))
    | ~ r1(X0,X1)
    | ~ sP3(X0) ) ).

cnf(u64,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | ~ r1(X1,X6)
    | p2(X6)
    | r1(sK15(X6),sK16(X6))
    | ~ r1(X1,X9)
    | ~ r1(X9,X10)
    | p2(X10)
    | ~ p2(X9)
    | ~ r1(X0,X1) ) ).

cnf(u46,axiom,
    ( ~ p2(sK12(X5))
    | p2(X5)
    | ~ r1(X0,X5)
    | ~ r1(X0,X8)
    | ~ r1(X8,X9)
    | p2(X9)
    | ~ p2(X8)
    | ~ sP2(X0) ) ).

cnf(u74,axiom,
    ( ~ sP1(X0)
    | sP0(X1)
    | r1(X1,sK13(X1))
    | ~ r1(X1,X9)
    | ~ r1(X9,X10)
    | p2(X10)
    | ~ p2(X9)
    | ~ r1(X0,X1) ) ).

cnf(u48,axiom,
    ( ~ sP2(X0)
    | p2(X5)
    | r1(sK11(X5),sK12(X5))
    | ~ r1(X0,X8)
    | ~ r1(X8,X9)
    | p2(X9)
    | ~ p2(X8)
    | ~ r1(X0,X5) ) ).

cnf(u92,negated_conjecture,
    ( ~ p2(X14)
    | ~ r1(X11,X12)
    | p2(X12)
    | ~ r1(sK30(X11),X14)
    | ~ r1(X14,X15)
    | p2(X15)
    | ~ r1(sK22,X11) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL661+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n020.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 16:24:20 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.29/1.68  % (3581272)Detected formulas, will run a generic FOF schedule.
% 6.29/1.68  % (3581278)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1595168559:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.29/1.68  % (3581282)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3977631670:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.29/1.68  % (3581277)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2525252853:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.29/1.68  % (3581283)dis-21_1_sil=8000:lcm=predicate:random_seed=407646164:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.29/1.68  % (3581280)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2870250329:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.29/1.68  % (3581281)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3912695641:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.29/1.68  % (3581279)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=396109300:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.29/1.68  % (3581282)Refutation not found, incomplete strategy
% 6.29/1.68  % (3581282)------------------------------
% 6.29/1.68  % (3581282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581282)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581282)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.68  % (3581282)Time elapsed: 0.008 s
% 6.29/1.68  % (3581282)Peak memory usage: 88 MB
% 6.29/1.68  % (3581282)Instructions burned: 10 (million)
% 6.29/1.68  % (3581280)Instruction limit reached! 
% 6.29/1.68  % (3581280)------------------------------
% 6.29/1.68  % (3581280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581280)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581280)Termination reason: Instruction limit
% 6.29/1.68  % (3581280)Termination phase: Saturation
% 6.29/1.68  % (3581280)Time elapsed: 0.060 s
% 6.29/1.68  % (3581280)Peak memory usage: 90 MB
% 6.29/1.68  % (3581280)Instructions burned: 110 (million)
% 6.29/1.68  % (3581281)Instruction limit reached! 
% 6.29/1.68  % (3581281)------------------------------
% 6.29/1.68  % (3581281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581281)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581281)Termination reason: Instruction limit
% 6.29/1.68  % (3581281)Termination phase: Saturation
% 6.29/1.68  % (3581281)Time elapsed: 0.063 s
% 6.29/1.68  % (3581281)Peak memory usage: 88 MB
% 6.29/1.68  % (3581281)Instructions burned: 120 (million)
% 6.29/1.68  % (3581283)Instruction limit reached! 
% 6.29/1.68  % (3581283)------------------------------
% 6.29/1.68  % (3581283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581283)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581283)Termination reason: Instruction limit
% 6.29/1.68  % (3581283)Termination phase: Saturation
% 6.29/1.68  % (3581283)Time elapsed: 0.066 s
% 6.29/1.68  % (3581283)Peak memory usage: 88 MB
% 6.29/1.68  % (3581283)Instructions burned: 129 (million)
% 6.29/1.68  % (3581291)lrs+10_1_sil=8000:sp=occurrence:random_seed=3669277343:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.29/1.68  % (3581293)lrs+1011_1_sil=32000:sp=occurrence:random_seed=168072536:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.29/1.68  % (3581292)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1041399724:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 6.29/1.68  % (3581293)Refutation not found, incomplete strategy
% 6.29/1.68  % (3581293)------------------------------
% 6.29/1.68  % (3581293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581293)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581293)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.68  % (3581293)Time elapsed: 0.010 s
% 6.29/1.68  % (3581293)Peak memory usage: 88 MB
% 6.29/1.68  % (3581293)Instructions burned: 14 (million)
% 6.29/1.68  % (3581292)Refutation not found, incomplete strategy
% 6.29/1.68  % (3581292)------------------------------
% 6.29/1.68  % (3581292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581292)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581292)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.68  % (3581292)Time elapsed: 0.011 s
% 6.29/1.68  % (3581292)Peak memory usage: 88 MB
% 6.29/1.68  % (3581292)Instructions burned: 20 (million)
% 6.29/1.68  % (3581291)Instruction limit reached! 
% 6.29/1.68  % (3581291)------------------------------
% 6.29/1.68  % (3581291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581291)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581291)Termination reason: Instruction limit
% 6.29/1.68  % (3581291)Termination phase: Saturation
% 6.29/1.68  % (3581291)Time elapsed: 0.085 s
% 6.29/1.68  % (3581291)Peak memory usage: 95 MB
% 6.29/1.68  % (3581291)Instructions burned: 286 (million)
% 6.29/1.68  % (3581282)------------------------------
% 6.29/1.68  % (3581282)------------------------------
% 6.29/1.68  % (3581297)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3012181481:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.29/1.68  % (3581297)Refutation not found, incomplete strategy
% 6.29/1.68  % (3581297)------------------------------
% 6.29/1.68  % (3581297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581297)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581297)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.68  % (3581297)Time elapsed: 0.007 s
% 6.29/1.68  % (3581297)Peak memory usage: 88 MB
% 6.29/1.68  % (3581297)Instructions burned: 24 (million)
% 6.29/1.68  % (3581298)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=628692127:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.29/1.68  % (3581298)Refutation not found, incomplete strategy
% 6.29/1.68  % (3581298)------------------------------
% 6.29/1.68  % (3581298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581298)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581298)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.68  % (3581298)Time elapsed: 0.030 s
% 6.29/1.68  % (3581298)Peak memory usage: 89 MB
% 6.29/1.68  % (3581298)Instructions burned: 52 (million)
% 6.29/1.68  % (3581293)------------------------------
% 6.29/1.68  % (3581293)------------------------------
% 6.29/1.68  % (3581292)------------------------------
% 6.29/1.68  % (3581292)------------------------------
% 6.29/1.68  % (3581297)------------------------------
% 6.29/1.68  % (3581297)------------------------------
% 6.29/1.68  % (3581303)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=853508297:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.29/1.68  % (3581301)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1118530558:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.29/1.68  % (3581302)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3472174084:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.29/1.68  % (3581303)Instruction limit reached! 
% 6.29/1.68  % (3581303)------------------------------
% 6.29/1.68  % (3581303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581303)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581303)Termination reason: Instruction limit
% 6.29/1.68  % (3581303)Termination phase: Saturation
% 6.29/1.68  % (3581303)Time elapsed: 0.036 s
% 6.29/1.68  % (3581303)Peak memory usage: 90 MB
% 6.29/1.68  % (3581303)Instructions burned: 130 (million)
% 6.29/1.68  % (3581302)Instruction limit reached! 
% 6.29/1.68  % (3581302)------------------------------
% 6.29/1.68  % (3581302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581302)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581302)Termination reason: Instruction limit
% 6.29/1.68  % (3581302)Termination phase: Saturation
% 6.29/1.68  % (3581302)Time elapsed: 0.065 s
% 6.29/1.68  % (3581302)Peak memory usage: 91 MB
% 6.29/1.68  % (3581302)Instructions burned: 115 (million)
% 6.29/1.68  % (3581278)First to succeed.
% 6.29/1.68  % (3581278)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3581272"
% 6.29/1.68  % (3581298)------------------------------
% 6.29/1.68  % (3581298)------------------------------
% 6.29/1.68  % (3581307)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=48237552:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.29/1.68  % (3581307)Instruction limit reached! 
% 6.29/1.68  % (3581307)------------------------------
% 6.29/1.68  % (3581307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581307)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581307)Termination reason: Instruction limit
% 6.29/1.68  % (3581307)Termination phase: Saturation
% 6.29/1.68  % (3581307)Time elapsed: 0.022 s
% 6.29/1.68  % (3581307)Peak memory usage: 88 MB
% 6.29/1.68  % (3581307)Instructions burned: 116 (million)
% 6.29/1.68  % (3581308)lrs+10_1_sil=8000:sp=occurrence:random_seed=2686018517:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.29/1.68  % (3581309)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3874294459:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.29/1.68  % (3581311)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2807540664:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.29/1.68  % (3581309)Refutation not found, incomplete strategy
% 6.29/1.68  % (3581309)------------------------------
% 6.29/1.68  % (3581309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.68  % (3581309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.68  % (3581309)CaDiCaL version: 2.1.3
% 6.29/1.68  % (3581309)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.68  % (3581309)Time elapsed: 0.039 s
% 6.29/1.68  % (3581309)Peak memory usage: 89 MB
% 6.29/1.68  % (3581309)Instructions burned: 66 (million)
% 6.29/1.68  % SZS status CounterSatisfiable for theBenchmark
% 6.29/1.68  % SZS output start Saturation.
% See solution above
% 7.88/1.87  % SZS output start Definitions and Model Updates.
% 7.88/1.87  % SZS output end Definitions and Model Updates.
% 7.88/1.87  % (3581278)------------------------------
% 7.88/1.87  % (3581278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/1.87  % (3581278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.87  % (3581278)CaDiCaL version: 2.1.3
% 7.88/1.87  % (3581278)Termination reason: Satisfiable
% 7.88/1.87  % (3581278)Time elapsed: 0.666 s
% 7.88/1.87  % (3581278)Peak memory usage: 129 MB
% 7.88/1.87  % (3581278)Instructions burned: 993 (million)
% 7.88/1.87  % (3581278)------------------------------
% 7.88/1.87  % (3581278)------------------------------
% 7.88/1.87  % (3581272)Success in time 1.066 s
% 7.88/1.87  % Vampire exiting
%------------------------------------------------------------------------------